8144313009 has 32 divisors (see below), whose sum is σ = 12532015104. Its totient is φ = 4608506880.

The previous prime is 8144312993. The next prime is 8144313011. The reversal of 8144313009 is 9003134418.

It is not a de Polignac number, because 8144313009 - 2⁴ = 8144312993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8144313019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 899314 + ... + 908324.

It is an arithmetic number, because the mean of its divisors is an integer number (391625472).

Almost surely, 2^8144313009 is an apocalyptic number.

It is an amenable number.

8144313009 is a deficient number, since it is larger than the sum of its proper divisors (4387702095).

8144313009 is a wasteful number, since it uses less digits than its factorization.

8144313009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9437.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 8144313009 is about 90245.8475997649. The cubic root of 8144313009 is about 2011.9544868378.

The spelling of 8144313009 in words is "eight billion, one hundred forty-four million, three hundred thirteen thousand, nine".